Problem D
Eb Alto Saxophone Player

My fingers move a lot when playing some music, and I’m quite interested in how many times each finger presses a button. Assume that the music is composed of only $14$ different notes. They are: C D E F G A B in one octave and C D E F G A B in a higher octave. We use c,d,e,f,g,a,b,C,D,E,F,G,A,B to represent them. The fingers I use for each note are:

• c: finger $2$-$4$, $7$-$10$

• d: finger $2$-$4$, $7$-$9$

• e: finger $2$-$4$, $7$, $8$

• f: finger $2$-$4$, $7$

• g: finger $2$-$4$

• a: finger $2$, $3$

• b: finger $2$

• C: finger $3$

• D: finger $1$-$4$, $7$-$9$

• E: finger $1$-$4$, $7$, $8$

• F: finger $1$-$4$, $7$

• G: finger $1$-$4$

• A: finger $1$-$3$

• B: finger $1$-$2$

(Note that every finger is controlling a specific button, different fingers are controlling different buttons.)

Write a program to help count the number of times each finger presses the button. A finger presses a button if it is needed in a note, but not used in the last note. Also, if it is the first note, every finger required presses a button.

Input

The first line of the input is a single integer $t$ ($1 \le t \le 1000$), indicating the number of test cases. For each case, there is only one line containing the song. The only allowed characters are “cdefgabCDEFGAB”. There are at most $200$ notes in a song, and the song maybe empty.

Output

For each test case, print $10$ numbers indicating the number of presses for each finger. Numbers are separated by a single space.

3
cdefgab
BAGFEDC
CbCaDCbCbCCbCbabCCbCbabae

0 1 1 1 0 0 1 1 1 1
1 1 1 1 0 0 1 1 1 0
1 8 10 2 0 0 2 2 1 0